Here is the full list of all 57 IXION achievements.
The base game contains 56 achievements, and there is 1 DLC pack containing 1 achievements.
Destroy the Piranesi before it destroys a planet
Finish the game by following the path of genetic conatus
Have every single sector in a work status of at least "Overwork"
Have 5 accidents within a single cycle
Reach tier 2 of the Recycling specialization in a sector
Build an Exo-fighting Dome
Finish Chapter 4
Build a memorial in each of the six sectors
Have an Observatory in each of the six sectors
Have a Train Station in each of the six sectors
Unlock all sectors
Have a Water Treatment Center in a sector with the Body Recycling decree in effect
Build a Health Center
Transfer 300 resources between sectors in a single cycle
Build all solar panels
Implement the Naomi protocol 3 times
Visit 15 planets
Research every single upgrade for the Drone Bay
Replace the last original piece of hull through EVA repairs
Finish Chapter 3
Reach 3079 population
Build a Hull Temple
Free ZY6073
Adopt the borzoi
Destroy 200 buildings in a single playthrough
Discover the ruins of the genetic facility
Finish Chapter 2
Convert waste into alloy, electronics or polymer
Experience a blackout for the tenth time
Have the Tiqqun's hull integrity erode below 5% and survive
Reach 1000 population
Train your first colonists
Skip a transmission within 1 second of it starting
Have 5 Mining Ships active at the same time
Entertain your crew members
Use exoskeletons to ensure no crew members die on Fargo 39
Implement a new decree
Finish Chapter 1
Use the body of Oulixes to access the Thiaki
Find two large resource deposits using a single probe
Awaken a human from cryogenic sleep
Unlock a sector
Finish the prologue
Reduce all audio sliders to 0 in the settings menu
Finish the game by emancipating yourself from DOLOS
The borzoi survives the journey
Replace Edden with the P.A. of the Protagoras
Finish the chain of events concerning the strange spheres
Have a member of Tiqqun compose a rap song about the Administrator
Restore the crew's trust after reaching 1%
Discover Outer Hope during the prologue
Fail to make it past the prologue
Have fires in 20 buildings at the same time
Reach tier 2 of the Industry specialization in a sector
Reach tier 2 of the Food specialization in a sector
Reach tier 2 of the Population specialization in a sector
Complete Challenge mode